Spence, William.
An essay on the theory of the various orders of logarithmic transcendents; with an inquiry into their applications to the integral calculus and the summation of series.

London, Murray, 1809. - (27 x 21 cm). XIV, 128 S. Moderner Pappband im Stil der Zeit.

Einzige Ausgabe seines Hauptwerkes, der ersten detaillierten Behandlung von Polylogarithmen und verwandten Funktionen. - "In 1808 Spence was again in London, and during the several months that he lived there, he published 'An Essay on the various Orders of logarithmic Transcendents...'.This work, published by John Murray and Archibald Constable, London and Edinburgh, in 1809 showed him as one of the first British mathematicians to be familiar with the work of Lagrange and Arbogast. On page 63 of the work is a table of the values of the function C-1(x), x=1 to 100, which is apparently the first table of tan-1x. Spence gave the results to nine decimal places and we note that he did not round off his tables" (MacTudor). - Oberer Rand stellenweise etwas gebräunt. Ein Blatt mit abgeschnittenem unteren Rand (ohne Textverlust), sonst gut erhalten. - Sehr selten

450 €